112241314000 has 80 divisors (see below), whose sum is σ = 272183311296. Its totient is φ = 44766864000.

The previous prime is 112241313959. The next prime is 112241314037. The reversal of 112241314000 is 413142211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112241314000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613135 + ... + 774865.

Almost surely, 2^112241314000 is an apocalyptic number.

112241314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112241314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136091655648).

112241314000 is an abundant number, since it is smaller than the sum of its proper divisors (159941997296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112241314000 is a wasteful number, since it uses less digits than its factorization.

112241314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162101 (or 162085 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 112241314000 its reverse (413142211), we get a palindrome (112654456211).

The spelling of 112241314000 in words is "one hundred twelve billion, two hundred forty-one million, three hundred fourteen thousand".